2944481760 has 576 divisors, whose sum is σ = 11679655680. Its totient is φ = 691891200.

The previous prime is 2944481731. The next prime is 2944481779. The reversal of 2944481760 is 671844492.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22476895 + ... + 22477025.

It is an arithmetic number, because the mean of its divisors is an integer number (20277180).

Almost surely, 2^2944481760 is an apocalyptic number.

2944481760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2944481760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5839827840).

2944481760 is an abundant number, since it is smaller than the sum of its proper divisors (8735173920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2944481760 is a wasteful number, since it uses less digits than its factorization.

2944481760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2944481760 is about 54263.0791606964. The cubic root of 2944481760 is about 1433.2973220927.

The spelling of 2944481760 in words is "two billion, nine hundred forty-four million, four hundred eighty-one thousand, seven hundred sixty".